Kinetic energy formula: Ek = m · v² / 2
We have: m= 3 kg, v= ?
h= g·t²/2 , t²= 2h/g = 2 m / 9.81 m/s² = 0.2 s² , t=√0.2(sqrt)= 0.45 s
v= g· t = 9.81 m/s² · 0.45 s = 4.43 m/s
Finally: Ek=[tex] \frac{m v^{2} }{2} = \frac{3 kg * (4.43 m/s)^{2} }{2} = \frac{58.87 J}{2} [/tex]= 29.43 J